• 제목/요약/키워드: 1st-oder linear differential equation

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가변용량형 피스톤 펌프의 안정적인 유량/압력제어를 위한 설계보상 (A Design Compensation for Stable Flow/Pressure Control of Variable Displacement Type Piston Pump)

  • 정동수;김형의;강이석
    • 한국자동차공학회논문집
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    • 제15권2호
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    • pp.165-174
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    • 2007
  • Variable displacement type piston pump uses various controllers for controlling more than one state quantity like pressure, flow, power, and so on. These controllers need the mathematical model closely expressing dynamic behavior of pump for analyzing the stability of control systems which usually use various kinds of state variables. This paper derives the nonlinear mathematical model for variable displacement type piston pump. This model consists of two 1st oder differential equations by the continuity equations and one 2nd oder differential equation by the motion equation. To simplify the model we obtain the linear state variable model by differentiating the three nonlinear equations. And we verify this linearized model by comparison of simulation with experimentation and analyze the stability for the flow/pressure control. Finally this paper suggests the design compensation to ensure the stability of the systems.

열분해 용융소각로 내 용융로에서의 온도변화에 대한 과정론적 모델링 (A Transient Modeling of Temperature Variation in a Melting Furnace of a Pyrolysis Melting Incinerator)

  • 김봉근;양원;류태우
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2006년도 제32회 KOSCO SYMPOSIUM 논문집
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    • pp.167-171
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    • 2006
  • The previous models for thermal behavior in the melting furnace were deterministic, composed of such a form that if the initial input conditions are determined, the results would have been come out by using the basic heat equilibrium equations. But making the experiment by trusting the analysis results, the melted slag is fortuitously set often, because temperature variation of the melted slag in the reaction process is not point function but path function. So in this study, a transient model was developed and verified by comparing with the experimental results.

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